Kai Xu

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math.AP2026

Infinity-harmonic functions and inverse mean curvature flow clusters

Kai Xu

An $\infty$ -harmonic function is a viscosity solution of $\nabla^{2} u (\nabla u, \nabla u) = 0$ , or equivalently, an absolute minimizer of $∥\nabla u ∥_{L^{\infty}}$ . We prove a variety…

math.AP2026

Proper solutions of the $1/ H$ -flow and the Green kernel of the $p$ -Laplacian

Luca Benatti, Luciano Mari, Marco Rigoli +2

We show existence and optimal growth estimate for the weak inverse mean curvature flow issuing from a point, on manifolds with certain curvature and isoperimetric conditions. These…

Infinity-harmonic functions and inverse mean curvature flow clusters

Proper solutions of the 1/H-flow and the Green kernel of the p-Laplacian

Proper solutions of the $1/ H$ -flow and the Green kernel of the $p$ -Laplacian